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Sewanhaka High School Math 8 Class:______________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:________________________ Name:__________________ H.W. #69D: Ditto DO-NOW #69D: Answer the following questions: 1) In isosceles triangle ABC, the measure of vertex angle C is 30˚ less than the measure of each base angle. Find the number of degrees in each angle of the triangle. Draw a diagram to help you find your answer. C x - 30 x A x B 3) What type of triangle is triangle QRS and why? Topic: Geometry Main Idea: Triangle Inequality Theorem Aim: RECALL NOTES Try to find which set of measurements are the dimensions of a triangle by developing, on a separate sheet of looseleaf paper, 4 different triangles based on their measurements. One of them will turn out to be a triangle. Your job is to find which one it is. (1) 2 in, 3 in, 5 in (2) 4 in, 4 in, 8 in (3) 3 in, 4 in, 8 in (4) 5 in, 6 in, 7 in Statement: An easier way of obtaining your answer is the Triangle Inequality Theorem. For each of the following, which will form triangles: (a) 2,2,3 (b) 6, 8, 10 (c) 6, 8, 20 (d) 4, 4, 12 (e) 5, 5, 10 (f) 6, 4, 4 (g) 15, 12, 9 For each of the above, which of the triangles are isosceles? Explain. It states that the sum of the measures of any two sides of any triangle is greater than the measure of the third side. Two sides of a triangle have lengths 2 and 5. Find all possible lengths of the third side. Drill: Answer the following: State if the three numbers can be the measures of the sides of a triangle. 1) 7, 5, 4 2) 3, 6, 2 3) 5, 2, 4 4) 8, 2, 8 5) 9, 6, 5 6) 5, 8, 4 7) 4, 7, 8 8) 11, 12, 9 9) 3, 10, 8 10) 1, 13, 13 11) 2, 15, 16 12) 10, 18, 10 Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 13) 9, 5 14) 5, 8 15) 6, 10 16) 6, 9 17) 11, 8 Summary: If time: 1) Can the given lengths be the measure of a triangle? a) 5, 3, 7 b) 9, 4, 5 18) 14, 11